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<p style="text-align: justify; line-height: 1.15; margin: 0px 0px 8px 0px;"><span style="font-size: 16px; font-family: calibri;">Time series of land use/cover mapping as the basis for the classification scheme is produced from satellite image interpretation. At least two time steps that cover the specified time period are needed. Analysis of land-cover changes and the trajectories can be presented as a standariesedframework called “Analysis of Land-Use/ Cover Trajectories” (ALUCT) and is based on interprenterd and classified satellite images. This procedures applied in ALUCT will result in several data needed for the abatement cost curve analysis input in this REDD Abacus software such as land cover classification, land cover change and the transition matrix.</span></p>
<p style="text-align: justify; line-height: 1.15; margin: 0px 0px 8px 0px;"><span style="font-size: 16px; font-family: calibri;">The transition matrix resulted shows the quantity of land use transition that will affect the estimate of national levels. That is why estimating land use system transition is essential for REDD+ opportunity cost analysis. Past changes are calculated by comparing land use system from different years. Probable future land use trajectories can be determined by extrapolating past change or by developing land use models (see the smulation chapter).</span></p>
<p style="line-height: 1.15; margin: 0px 0px 2px 0px;"><span style="font-size: 16px; font-family: calibri;">The entire procedure of ALUCT is presented in Figure.</span></p>
<p style="text-align: center; line-height: 1.15;"><img src="clip0015_zoom120.png" width="168" height="372" alt="clip0015" style="border:none" /></p>
<p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="width:48px">&nbsp;</span> &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span style="font-family: calibri; font-style: italic;">Source: Widayati et al, 2010 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; </span><br />
<span style="font-size: 16px; font-family: calibri;">Overall workflow in ALUCT &nbsp; </span><span style="font-family: calibri; font-style: italic;">  </span></p>
<p style="text-align: justify; line-height: 1.15;"><span style="font-size: 16px; font-family: calibri;">Overall workflow will enable us to do some cross-tabulation of the two land cover map that result in a land use change matrix. (Table 1)</span></p>
<p style="text-align: center; line-height: 1.15;"><span style="font-size: 16px; font-family: calibri;">Table 1 Example of land-use change matrix</span></p>
<div style="text-align: center; text-indent: 0px; padding: 0px 0px 0px 0px; margin: 0px 0px 0px 0px;"><table style="margin:0 auto; border:none; border-spacing:0px; border-collapse:collapse;">
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:80px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">2001-2009</span></p>
</td>
<td style="vertical-align:top; width:86px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Forest (ha)</span></p>
</td>
<td style="vertical-align:top; width:183px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Agroforestry/mosaics (ha)</span></p>
</td>
<td style="vertical-align:top; width:96px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Oil palm (ha)</span></p>
</td>
<td style="vertical-align:top; width:91px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Total 2001</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:80px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Forest</span></p>
</td>
<td style="vertical-align:top; width:86px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">1000</span></p>
</td>
<td style="vertical-align:top; width:183px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">2000</span></p>
</td>
<td style="vertical-align:top; width:96px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">1000</span></p>
</td>
<td style="vertical-align:top; width:91px; padding:4px; border:solid 1px #f79646; border-top:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">4000</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:80px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Agroforest/mosaics</span></p>
</td>
<td style="vertical-align:top; width:86px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">500</span></p>
</td>
<td style="vertical-align:top; width:183px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">500</span></p>
</td>
<td style="vertical-align:top; width:96px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">2000</span></p>
</td>
<td style="vertical-align:top; width:91px; padding:4px; border:solid 1px #f79646; border-top:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">3000</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:80px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Oil palm</span></p>
</td>
<td style="vertical-align:top; width:86px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">500</span></p>
</td>
<td style="vertical-align:top; width:183px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">500</span></p>
</td>
<td style="vertical-align:top; width:96px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">2000</span></p>
</td>
<td style="vertical-align:top; width:91px; padding:4px; border:solid 1px #f79646; border-top:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">3000</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:80px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Total 2009</span></p>
</td>
<td style="vertical-align:top; width:86px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">2000</span></p>
</td>
<td style="vertical-align:top; width:183px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">3000</span></p>
</td>
<td style="vertical-align:top; width:96px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">5000</span></p>
</td>
<td style="vertical-align:top; width:91px; padding:4px; border:solid 1px #f79646; border-top:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">10000*</span></p>
</td>
</tr>
</table>
</div>
<p style="text-align: justify; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">For the analysis using REDD Abacus the data inside land use change matrix then normalized to the total area* of study in order to get the proportion of each land use changes (Table 2).</span></p>
<p style="text-align: center; line-height: 1.15;"><span style="font-size: 16px; font-family: calibri;">Table 2 Example of land use changes transition matrix</span></p>
<div style="text-align: center; text-indent: 0px; padding: 0px 0px 0px 0px; margin: 0px 0px 0px 0px;"><table style="margin:0 auto; border:none; border-spacing:0px; border-collapse:collapse;">
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:98px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">2001-2009</span></p>
</td>
<td style="vertical-align:top; width:76px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Forest (ha)</span></p>
</td>
<td style="vertical-align:top; width:185px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Agroforestry/mosaics (ha)</span></p>
</td>
<td style="vertical-align:top; width:103px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Oil palm (ha)</span></p>
</td>
<td style="vertical-align:top; width:75px; background-color:#f79646; padding:4px; border:solid 1px #f79646; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Total 2001</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:98px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Forest</span></p>
</td>
<td style="vertical-align:top; width:76px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.1</span></p>
</td>
<td style="vertical-align:top; width:185px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.2</span></p>
</td>
<td style="vertical-align:top; width:103px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.1</span></p>
</td>
<td style="vertical-align:top; width:75px; padding:4px; border:solid 1px #f79646; border-top:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.4</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:98px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Agroforest/mosaics</span></p>
</td>
<td style="vertical-align:top; width:76px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.05</span></p>
</td>
<td style="vertical-align:top; width:185px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.05</span></p>
</td>
<td style="vertical-align:top; width:103px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.2</span></p>
</td>
<td style="vertical-align:top; width:75px; padding:4px; border:solid 1px #f79646; border-top:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.3</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:98px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Oil palm</span></p>
</td>
<td style="vertical-align:top; width:76px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.05</span></p>
</td>
<td style="vertical-align:top; width:185px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.05</span></p>
</td>
<td style="vertical-align:top; width:103px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.2</span></p>
</td>
<td style="vertical-align:top; width:75px; padding:4px; border:solid 1px #f79646; border-top:none; border-bottom:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.3</span></p>
</td>
</tr>
<tr style="text-align:left;vertical-align:top;">
<td style="vertical-align:top; width:98px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">Total 2009</span></p>
</td>
<td style="vertical-align:top; width:76px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.2</span></p>
</td>
<td style="vertical-align:top; width:185px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.3</span></p>
</td>
<td style="vertical-align:top; width:103px; padding:4px; border:solid 1px #f79646; border-top:none; border-right:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">0.5</span></p>
</td>
<td style="vertical-align:top; width:75px; padding:4px; border:solid 1px #f79646; border-top:none; border-left:none;"><p style="text-align: center; line-height: 1.15; margin: 0px 0px 13px 0px;"><span style="font-size: 16px; font-family: calibri;">1</span></p>
</td>
</tr>
</table>
</div>
<p style="text-align: justify; line-height: 1.15; margin: 0px 0px 8px 0px;"><span style="font-size: 16px; font-family: calibri;">Every value inside the matrix represents the fraction (%) of land cover change per sub-national zone (the sum of all cells within this equal to 1) in hectare (ha) unit.</span></p>
<p style="text-align: justify; line-height: 1.15;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">How to input data in Transition Matrix:</span></p>
<p style="text-align: justify; line-height: 1.15;"><span style="font-size: 16px; font-family: calibri;">Click </span><span style="font-size: 16px; font-family: calibri; font-weight: bold;">input</span><span style="font-size: 16px; font-family: calibri;"> button from main menu </span><span style="font-size: 16px; font-family: Wingdings;">&rarr;</span><span style="font-size: 16px; font-family: calibri;"> </span><span style="font-size: 16px; font-family: calibri; font-weight: bold;">spatial &amp; carbon stock data</span><span style="font-size: 16px; font-family: calibri;"> </span><span style="font-size: 16px; font-family: Wingdings;">&rarr;</span><span style="font-size: 16px; font-family: calibri;"> </span><span style="font-size: 16px; font-family: calibri; font-weight: bold;">transition matrix</span><span style="font-size: 16px; font-family: calibri;"> or expands the tree menu on the structured menu frame (on the left side by default) click </span><span style="font-size: 16px; font-family: calibri; font-weight: bold;">+Input</span><span style="font-size: 16px; font-family: calibri;"> </span><span style="font-size: 16px; font-family: Wingdings;">&rarr;</span><span style="font-size: 16px; font-family: calibri;"> </span><span style="font-size: 16px; font-family: calibri; font-weight: bold;">+spatial &amp; carbon stock data </span><span style="font-size: 16px; font-family: Wingdings;">&rarr;</span><span style="font-size: 16px; font-family: calibri;"> </span><span style="font-size: 16px; font-family: calibri; font-weight: bold;">transition matrix.</span></p>
<p style="text-align: center; line-height: 1.15; margin: 0px 0px 16px 0px;"><img src="clip0016_zoom97.png" width="589" height="317" alt="clip0016" style="border:none" /></p>
<p style="line-height: 1.15;"><span style="font-size: 16px; font-family: calibri;">Transition matrix data input</span></p>
<p style="text-align: justify; padding: 0px 0px 0px 24px; margin: 0px 0px 0px 24px;"><span style="font-size:16px; font-family: 'Arial Unicode MS','Lucida Sans Unicode','Arial';color:#000000;display:inline-block;width:24px;margin-left:-24px">&#8226;</span><span style="font-size: 16px; font-family: calibri;">Fill in the transition time scale on the top of the table.</span></p><p style="text-align: justify; padding: 0px 0px 0px 24px; margin: 0px 0px 0px 24px;"><span style="font-size:16px; font-family: 'Arial Unicode MS','Lucida Sans Unicode','Arial';color:#000000;display:inline-block;width:24px;margin-left:-24px">&#8226;</span><span style="font-size: 16px; font-family: calibri;">You can change the unit by selecting the dropdown menu on the top‐left table. By default the unit is in “Fraction Hectare”, the other option is in total “Hectare” unit.</span></p><p style="text-align: justify; padding: 0px 0px 0px 24px; margin: 0px 0px 0px 24px;"><span style="font-size:16px; font-family: 'Arial Unicode MS','Lucida Sans Unicode','Arial';color:#000000;display:inline-block;width:24px;margin-left:-24px">&#8226;</span><span style="font-size: 16px; font-family: calibri;">You can import data from other application or spreadsheet with import from clipboard button (ex. Copy Data from MS Excel and click button import from clipboard).</span></p><p style="text-align: justify; padding: 0px 0px 0px 24px; margin: 0px 0px 0px 24px;"><span style="font-size:16px; font-family: 'Arial Unicode MS','Lucida Sans Unicode','Arial';color:#000000;display:inline-block;width:24px;margin-left:-24px">&#8226;</span><span style="font-size: 16px; font-family: calibri;">For editing on actual hectare unit, select the unit dropdown menu on the top‐left to “Hectare” then you can start editing.</span></p><p style="text-align: justify; line-height: 1.15;"><span style="font-size: 16px; font-family: calibri; font-weight: bold;">Note</span><span style="font-size: 16px; font-family: calibri;">: you can leave the total area field on zonation setting empty and it can be filled up automatically by the total area from this table.</span></p>
<p style="text-align: center; line-height: 1.15;"><img src="hmfile_hash_fb1cd6ab.png" width="731" height="556" alt="Transition Matrix" style="border:none" /></p>

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